Consider the following LP problem:

Maximize z = 5x1 +2x2+2x3

Subject to 6x1+ x2+7x3 42

x1 +3x2+5x3 30

3x1 + x2+ x3 72

xi 0

Add/Subtract a slack/surplus variable to the 1st constraint *

4 points

6x1 + x2 + 7x3 - S1 42

6x1 + x2 + 7x3 + S1 = 42

6x1 + x2 + 7x3 + S1 42

None of the answers.

6x1 + x2 + 7x3 - S1= 42

Add/Subtract a slack/surplus variable to the 3rd constraint *

4 points

3x1 + x2 + x3 + S3 = 72

3x1 + x2 + x3 + S3 72

3x1 + x2 + x3 - S3 = 72

3x1 + x2 + x3 - S3 72

None of the answers.

__________ is the "1st leaving variable" since it has the/a _________. *

4 points

S2; minimum positive ratio

S3; minimum positive ratio

S1; minimum positive ratio

S2; minimum negative ratio

None of the answers.

The "new pivot row" of the first iteration is written as: *

4 points

(1, 0.17, 1.17, 0.17, 0, 0.7)

None of the answers.

(1, 0.17, 1.17, 0.17, 0, 0, 7)

(1, 0.17, 1.17, 017, 0, 0, 7)

(1, 0.17, 11.7, 0.17, 0, 0, 7)

The "New Z-row" of the first iteration is written as: *

4 points

(0, -1.17, 3.83, 083, 0, 0, 35)

(0, -1.17, 3.83, 0.83, 0, 0, 35)

None of the answers.

(0, -1.17, 3.83, -0.83, 0, 0, 35)

(0, 1.17, 3.83, 0.83, 0, 0, 35)

The values of the "2nd basic" variable in the first iteration, is written as: *

4 points

(0, 2.83, 3.83, -0.17, 1, 0, 23)

(0, 2.83, 3.83, 0.17, 1, 0, 23)

(0, 2.83, 3.83, -0.17, 1, 0, 2.3)

None of the answers.

(0, -2.83, 3.83, -0.17, 1, 0, 23)

The 2nd entering variable is ______ with a coefficient of______. *

4 points

S3; 1.14

X2; -2

X3; 0

X2; -1.17

None of the answers.

The "new pivot row" of the 2nd iteration is written as: *

4 points

(0, 1, 1.35, 0.06, 0.35, 0, 8.12)

None of the answers.

(0, 1, 1.35, -0.06, -0.35, 0, 8.12)

(0, 1, -1.35, 0.06, 0.35, 0, 8.12)

(0, 1, 1.35, -0.06, 0.35, 0, 8.12)

The values of the "first basic" variable in the 2nd iteration, is written as: *

4 points

(1, 0, 0.94, 0.18, -006, 0, 5.65)

(1, 0, 0.94, 0.18, 0.06, 0, 5.65)

None of the answers.

(1, 0, 0.94, 0.18, -0.06, 0, 5.65)

(1, 0, 0.94, 018, -0.06, 0, 5.65)

The values of the "3rd basic" variable in the 2nd iteration, is written as: *

4 points

None of the answers.

(0, 0, -3.18, -0.47, -0.18, 1, 46.94)

(0, 0, -3.18, -0.47, -018, 1, 46.94)

(0, 0, -3.18, -0.47, 0.18, 1, 46.94)

(0, 0, -3.18, -0.47, -0.18, -1, 46.94)

The optimal value of "z" is: *

4 points

minimum z = 4.47

maximum z = 4.47

maximum z = 44.47

minimum z = 44.47

None of the answers.

The optimal values of "X1, X2, & X3" are respectively: *

4 points

None of the answers.

5.65; 812; 0

5.65; 8.12; 0

5.65; 81.2; 0

565; 8.12; 0

The coefficient of "X3"in the optimal table, in terms of d1, d2, & d3 (changes in the objective function) is written as: *

4 points

5.41 - 0.94d1 + 1.35d2 - d3

None of the answers.

5.41 + 0.94d1 + 1.35d2 + d3

5.41 + 0.94d1 + 1.35d2 - d3

5.41 + 0.94d1 + 135d2 - d3

The coefficient of "S1"in the optimal table, in terms of d1, d2, & d3 (changes in the objective function) is written as: *

4 points

None of the answers.

0.76 + 0.018d1 - 0.06d2

0.76 + 0.18d1 - 0.06d2

0.76 + 0.18d1 + 0.06d2

0.76 + 0.18d1 - 0.6d2

The optimal value of "z" in terms of d1, d2, & d3 (changes in the objective function) is written as: *

4 points

4447 + 5.65d1 + 8.12d2

44.47 - 5.65d1 + 8.12d2

None of the answers.

44.47 + 5.65d1 - 8.12d2

44.47 + 5.65d1 + 8.12d2